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114684074448 = 243591031093607
BaseRepresentation
bin110101011001110110…
…1000001100111010000
3101222000112022121112220
41222303231001213100
53334333110340243
6124403553421040
711166656356116
oct1526355014720
9358015277486
10114684074448
1144701196619
121a28756a780
13aa78a72ca8
14579d327ab6
152eb3446783
hex1ab3b419d0

114684074448 has 160 divisors (see below), whose sum is σ = 307089868800. Its totient is φ = 36863589888.

The previous prime is 114684074447. The next prime is 114684074467. The reversal of 114684074448 is 844470486411.

It is a self number, because there is not a number n which added to its sum of digits gives 114684074448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114684074441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31793061 + ... + 31796667.

It is an arithmetic number, because the mean of its divisors is an integer number (1919311680).

Almost surely, 2114684074448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114684074448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544934400).

114684074448 is an abundant number, since it is smaller than the sum of its proper divisors (192405794352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114684074448 is a wasteful number, since it uses less digits than its factorization.

114684074448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 114684074448 in words is "one hundred fourteen billion, six hundred eighty-four million, seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 103 109 118 177 206 218 236 309 327 354 412 436 472 618 654 708 824 872 944 1236 1308 1416 1648 1744 2472 2616 2832 3607 4944 5232 6077 6431 7214 10821 11227 12154 12862 14428 18231 19293 21642 22454 24308 25724 28856 33681 36462 38586 43284 44908 48616 51448 57712 67362 72924 77172 86568 89816 97232 102896 134724 145848 154344 173136 179632 212813 269448 291696 308688 371521 393163 425626 538896 638439 662393 743042 786326 851252 1114563 1179489 1276878 1324786 1486084 1572652 1702504 1987179 2229126 2358978 2553756 2649572 2972168 3145304 3405008 3974358 4458252 4717956 5107512 5299144 5944336 6290608 7948716 8916504 9435912 10215024 10598288 15897432 17833008 18871824 21919739 23196617 31794864 40495789 43839478 46393234 65759217 69589851 80991578 87678956 92786468 121487367 131518434 139179702 161983156 175357912 185572936 242974734 263036868 278359404 323966312 350715824 371145872 485949468 526073736 556718808 647932624 971898936 1052147472 1113437616 1943797872 2389251551 4778503102 7167754653 9557006204 14335509306 19114012408 28671018612 38228024816 57342037224 114684074448